Cclxviii FUNDAMENTAL EQUATIONS. 



data. All terms containing n being rejected, the additional equations for semi-diameter 

 furnish, after combination with those deduced from observations of Venus I, 



for the Santiago Equatorial, t = + 0".7450 

 for the Santiago meridian-circle, t = 0".38812 



Substituting these values, we obtain a series of equation systems containing only x, y, z, w, 

 V, and the t for Greenwich. Omitting the latter term, summing the equations, and solving, 

 we obtain 



v = + 0".534 



and the fundamental equations are 



i 



FUNDAMENTAL EQUATIONS FOR VENUS II. 



Santiago Equatorial .... 71.300x4- 59.1'J7y+ 94.589* + 14.083 v + 112.469 w + 350.854 = 



Santiago Meridian .... 46.000 z -f. 21.787 y+ 45.944s + 82.561 w 4. 158.404 =0 



Wuhington Equatorial . . . 13.560 x + 11.736x4- 93.555* 14.341 wr + 10.89 =0 



Greenwich Meridian .... 17.000x4- 10.176x4- 16.7X8 7.0001 96.922 w 4. 41.51 =0 



Cracow Meridian 16.000 x 19.343 y 4- 18.034 s 17.661 w + 13.800 = 



Santiago Equatorial .... 59.197 x 4- 336.451 y 4. 149.054 x + 135.096 v 4. 83.493 w 4. 608.376 = 



Santiago Meridian .... 91.787 x 4- 114.854 y 4. 49.873 > 4- 38.404 w 4. 330.817 = 



Wuhinfton Equatorial . . . 11.736x4- 68.890jr 15.577m 4- 9.803 w 4. 91.94 =0 



Greenwich Meridian .... 10.176x4- 41.987x4- 25.943 x + 11.168 t 13.374 w 4- 106.33 =0 



Cracow Meridian 19.343x4- 45. 158 y 34. 516 x 4- 17. 973 w 4- 53.463 =0 



Santiago Equatorial .... 94. 582x 4. 143.054 y 4- 191.935 x 4. 39.173 v 4. 133. 967 vr + 431.354 = 



Santiago Meridian . '. . . 45.944x4- 49.873 y 4. 85.807* 4- 77.707 w + 171.839 =0 



Washington Equatorial . . . 23.555 X 15.577 y 4. 43. 367 x 24.950 w 4. 30.18 =0 



Greenwich Meridian . . . . 16.798x4- 35. 943 y 4- 40.888x4- 4.7131 19. 179 w 4- 73.37 =0 



Cracow Meridian 18.034 x 94.516 y 4- 23.931 x 18'503w4- 6.448 =0 



Greenwich Meridian . ... - 7.000x4- 11.168*4- 4.713x4-17.0001 4- 13.696w4- 13.19 =0 



Santiago Equatorial .... 14.083 x 4. 135.098 y 4- 39.173* 4. 338.069V 4. 91. 378 w 5.680 =0 



Santiago Equatorial .... 113.469x4- 83.493 y + 132.967 x + 31.378 v 4. 181.379 w 4. 385.119 = 



Santiago Meridian .... 92.561x4- 38.404 y 4- 77.707* 4. 192.848 w + 339.959 =0 



Washington Equatorial . . . -14.341x4- 9.803 y 94.950* 4- 15.369 w- 16.66 =0 



Greenwich Meridian .... 96.933 x 13.974 y - 19.179* 4. 13.696 t 4- 45.186 w- 60.48 =0 



Cracow Meridian 17.681 X 4. 17.973 y 18.509 c 4- 90.332 w - 34.859 = 



Santiago Equatorial .... [nn] = 9146.084 



Santiago Meridian . . . . [tin] -. 1483.99 



Waihington Equatorial . . [nn] = 991.76 



Greenwich Meridian . . . [nn] _ 313.30 



Cracow Meridian .... [nn] = 393 63 



The values obtained for v in these four solutions are quite accordant, and, when combined 

 with one another with due regard to weights, give us the preliminary value 



v = + 0".6T. 



